Atkin-Lehner |
2+ 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79050t |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-578500480807500000 = -1 · 25 · 3 · 57 · 174 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80651,37634198] |
[a1,a2,a3,a4,a6] |
Generators |
[236:5517:1] [992:30066:1] |
Generators of the group modulo torsion |
j |
-3713002274022049/37024030771680 |
j-invariant |
L |
9.3672328747971 |
L(r)(E,1)/r! |
Ω |
0.24791537190307 |
Real period |
R |
18.891996899843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810n4 |
Quadratic twists by: 5 |